a. Three processes share four resource units that can be reserved and released only one at a time. Each process needs a maximum of two units. Show that a deadlock cannot occur. b. N processes share M resource units that can be reserved and released only one at a time. The maximum need of each process does not exceed M, and the sum of all maximum needs is less than M + N. Show that a deadlock cannot occur.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.15: Priority Queuing Models
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a. Three processes share four resource units that can be reserved and released only
one at a time. Each process needs a maximum of two units. Show that a deadlock
cannot occur.
b. N processes share M resource units that can be reserved and released only one at
a time. The maximum need of each process does not exceed M, and the sum of all
maximum needs is less than M + N. Show that a deadlock cannot occur.
Transcribed Image Text:a. Three processes share four resource units that can be reserved and released only one at a time. Each process needs a maximum of two units. Show that a deadlock cannot occur. b. N processes share M resource units that can be reserved and released only one at a time. The maximum need of each process does not exceed M, and the sum of all maximum needs is less than M + N. Show that a deadlock cannot occur.
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